On the Solution of Optimal Control Problems using Parameterized State-Dependent Riccati Equations
2020 59th IEEE Conference on Decision and Control (CDC), 2020This paper introduces a new algorithm for the solution of infinite horizon optimal control problems for inputaffine nonlinear systems based on a parameterization of the solutions of an associated state-dependent Riccati equation. This allows the transformation of the problem into an optimisation problem and allows approximate solutions to be derived ...
Alessandro Astolfi, Adam Jones
exaly +3 more sources
A State-Dependent Riccati Equation Approach to Atmospheric Entry Guidance
This paper investigates the use of state-dependent Riccati equation control for closed-loop guidance of the hypersonic phase of atmospheric entry. Included are a discussion of the development of the state-dependent Riccati equations, their outgrowth from Hamilton-Jacobi-Bellman theory, a discussion of the closed-loop nonlinear system’s closed-loop ...
Bradley Steinfeldt, Panagiotis Tsiotras
core +3 more sources
Robust state dependent Riccati equation based guidance laws
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001A robust state dependent Riccati equation based guidance/control is investigated in this study. In order to have a better design tool in terms of required interceptor accelerations, the target intercept geometry is formulated in a set of polar coordinates. With this formulation, we formulate a cost function with state dependent weights.
Sivasubramanya Nadar Balakrishnan +1 more
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Estimation of the Region of Attraction for State-Dependent Riccati Equation Controllers
Journal of Guidance, Control, and Dynamics, 2006A new method for estimating a higher bound of the region of attraction of a nonlinear system is developed for state-dependent Riccati equation controller. The methodology can be applied to SDRE-controlled systems for improving the stability properties of such systems.
Bracci A +2 more
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Missile Autopilot Design Based on State Dependent Riccati Equation
2009 International Asia Conference on Informatics in Control, Automation and Robotics, 2009In this paper a control approach is presented for flight control system of a rigid body missile using both State Dependent Riccati Equation (SDRE) method and Fast Output Sampling (FOS) technique. The dynamics and kinematics for missile attitude stable problem are of typical nonlinear character.
Ping Sun, Kun Liu
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Two approximate solutions to HJI equation via state dependent Riccati equation
2001 European Control Conference (ECC), 2001One of the most important problems in nonlinear H ∞ control is how to solve its main equation i.e., HJI equation. We propose two new and efficient methods to solve this problem in state feedback set up, based on state dependent Riccati equation. Superiority of these suggested methods in comparison with some methods proposed before is shown through ...
K. Zarifi, Mohammad Javad Yazdanpanah
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Tutorial and Review on the State-dependent Riccati Equation
Journal of Applied Nonlinear Dynamics, 2019Summary: This paper presents an extensive tutorial and a complete review on the state-dependent Riccati equation (SDRE). The review covers contributions from the beginning to (near the end of 2017) current trend and works, categorized according to theoretical and practical impact.
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Suboptimal control of a 3 dof helicopter with state dependent riccati equations
2017 XXVI International Conference on Information, Communication and Automation Technologies (ICAT), 2017The paper presents the application of State Dependent Riccati Equation (SDRE) based optimal controller design for nonlinear systems. Optimal controller is designed in local sense to minimize a given quadratic performance index, leading to well-known Linear Quadratic Regulator (LQR) problem and the optimal controller is updated at each sampling time to ...
Ahmet Cagri Arican +4 more
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Ensuring stability of state-dependent Riccati equation controllers via satisficing
Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003Controls based on solutions to the state-dependent Riccati equation (SDRE) have been shown to offer high performance, but they suffer from unproven stability properties. This paper combines SDRE with satisficing, a novel clf-based approach which analytically guarantees stability.
J. Willard Curtis, Randal W. Beard
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State-dependent Riccati equation techniques: an overview
Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), 1997State-dependent Riccati equation (SDRE) techniques are rapidly emerging as general design methods which provide a systematic and effective means of designing nonlinear controllers, observers, and filters. This paper provides an overview of several SDRE design techniques including SDRE nonlinear regulation, SDRE nonlinear H/sub /spl infin//, SDRE ...
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